Question

20. A random sample of 8 professional athletes produced the following data where x is the number of endorsements the player has and y is the amount of money made (in millions of dollars).

x

y

0

1

1

1.5

1

2

2

3

2

3.5

3

3

5

6.5

5

7

  1. (a) Find an equation of the least squares regression line. Round the slope and y-intercept value to two decimal places. Describe method for obtaining results.
  2. (b) Based on the equation from part (a), what is the predicted amount of money made when a professional athlete has 4 endorsements? Show all work and justify your answer.
  3. (c) Based on the equation from part (a), what is the predicted amount of money made when a professional athlete has 15 endorsements? Show all work and justify your answer.
  4. (d) Which predicted amount of money made that you calculated for (b) and (c) do you think is closer to the true amount of the money made and why?
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